Past Seminars- Analysis

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  • Yuan Yuan
    Thu Mar 31, 2016
    3:00 pm
    We will discuss the common submanifolds of two Hermitian symmetric spaces. In particular, we proved that the Euclidean space and a bounded symmetric domain cannot share a common submanifold. This is based on the joint work with Professor X. Huang.
  • Robin Graham
    Tue Feb 16, 2016
    3:00 pm
    Geodesics in hyperbolic space, or more generally in an asymptotically hyperbolic manifold, have infinite length as they approach the boundary at infinity.  Nonetheless, it is possible to associate a finite renormalized length to such a geodesic.  This talk will describe how one can recover the infinite order boundary jet of an...
  • Josh Strong
    Tue Feb 9, 2016
    3:00 pm
    One way to classify bounded domains of several complex variables is to determine the boundary behavior.  It is a conjecture of Greene and Krantz that if an automorphism orbit accumulates at the boundary of a smooth domain, then that point is of finite type in the sense of D'Angelo.  We will discuss some supporting results and a...
  • Lizaveta Ihnatsyeva
    Tue Nov 24, 2015
    4:00 pm
    In the talk we consider inequalities of Hardy type for functions in Triebel-Lizorkin spaces. In particular, we discuss these inequalities for functions defined on domains whose boundary has the small Aikawa dimension  (the case of a 'thin' boundary). We also show the validity of Hardy inequalities on open sets under a combined fatness...
  • Josz Cedric
    Tue Nov 24, 2015
    3:00 pm
    Multivariate polynomial optimization where variables and data are complex numbers is a non-deterministic polynomial-time hard problem that arises in various applications such as electric power systems, signal processing, imaging science, automatic control, and quantum mechanics. Complex numbers are typically used to model oscillatory...
  • Tianling Jin
    Tue Nov 17, 2015
    3:00 pm
    We prove interior H ̈older estimates for the spatial gradient of vis- cosity solutions to the parabolic homogeneous p-Laplacian equation ut = |∇u|2−pdiv(|∇u|p−2∇u), where 1 < p < ∞. This equation arises from tug-of-war-like stochastic games with noise. It can also be considered as the parabolic p-Laplacian...
  • Ilya Kossovskiy
    Tue Nov 3, 2015
    3:00 pm
     Study of equivalences and symmetries of real submanifolds in complex space goes back to the classical work of Poincar\'e  and Cartan and was deeply developed in later work of Tanaka and Chern and Moser. This work initiated far going research in the area (since 1970's till present), which is dedicated to questions of regularity...